Study of the process ${e}^{+}{e}^{-}\to \varphi \eta $ at center-of-mass energies between 2.00 and 3.08 GeV

The process ${e}^{+}{e}^{-}\to \varphi \eta $ is studied at 22 center-of-mass energy points ($\sqrt{s}$) between 2.00 and 3.08 GeV using $715\text{}\text{}{\mathrm{pb}}^{-1}$ of data collected with the BESIII detector. The measured Born cross section of ${e}^{+}{e}^{-}\to \varphi \eta $ is found to be consistent with BABAR measurements, but with improved precision. A resonant structure around 2.175 GeV is observed with a significance of $6.9\sigma $ with mass $\left(2163.5±6.2±3.0\right)\text{}\text{}\mathrm{MeV}/{c}^{2}$ and width $\left({31.1}_{-11.6}^{+21.1}±1.1\right)\text{}\text{}\mathrm{MeV}$, where the first uncertainties are statistical and the second are systematic.